Question

Bridget, Brian & Caroline share some money in the ratio 4 : 9 : 4.
In total, Bridget and Caroline receive £48.
How much does Brian get?

Answer 1

Step-by-step explanation:

We know that Bridget must correspond to the 7 since she got more than Caroline.

We don't yet know the total, but they've told us what the difference is between the two parts. We can use that!

7 times some number will be the amount that Bridget got, and Caroline got 3 times that same number.

The two parts are 3x and 7x.

7x - 3x = 40 is the difference between the two. (Bridget got 40 more than Caroline.)

We can solve this for x, then we can find 7x+3x=10x to get their total.

7x - 3x = 40

4x = 40

x=10

The total was 100 pounds.

(Bridget got 70 and Caroline got 30.)